A post by Willis Eschenbach introduces something called the”periodicity transform” and extolls its virtues, suggesting that it’s superior in many ways to Fourier analysis. The method is very interesting, and in some situations quite useful, but it’s not the glorious improvement Willis seems to think it is — nor does Fourier analysis suffer from the flaws Willis seems to think it does. It’s also a recent method, but like most such innovations the core idea is not entirely new — there are strongly related methods that have been around for quite some time.
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